Lagrangian geometry of the Gauss images of isoparametric hypersurfaces in spheres

The Gauss images of isoparametric hypersufaces of the standard sphere Sn+1 provide a rich class of compact minimal Lagrangian submanifolds embedded in the complex hyperquadric Qn(ℂ). This is a survey article based on our joint work [17] to study the Hamiltonian non-displaceability and related proper...

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Autores principales:	Miyaoka Reiko, Ohnita Yoshihiro
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2019
Materias:	isoparametric hypersurfaces monotone lagrangian submanifolds floer homology primary: 53c40 secondary: 53c42, 53d12 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/daa5b67a840d4a95b56cedca9b82447d
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spelling	oai:doaj.org-article:daa5b67a840d4a95b56cedca9b82447d2021-12-02T19:07:54ZLagrangian geometry of the Gauss images of isoparametric hypersurfaces in spheres2300-744310.1515/coma-2019-0013https://doaj.org/article/daa5b67a840d4a95b56cedca9b82447d2019-01-01T00:00:00Zhttps://doi.org/10.1515/coma-2019-0013https://doaj.org/toc/2300-7443The Gauss images of isoparametric hypersufaces of the standard sphere Sn+1 provide a rich class of compact minimal Lagrangian submanifolds embedded in the complex hyperquadric Qn(ℂ). This is a survey article based on our joint work [17] to study the Hamiltonian non-displaceability and related properties of such Lagrangian submanifolds.Miyaoka ReikoOhnita YoshihiroDe Gruyterarticleisoparametric hypersurfacesmonotone lagrangian submanifoldsfloer homologyprimary: 53c40secondary: 53c42, 53d12MathematicsQA1-939ENComplex Manifolds, Vol 6, Iss 1, Pp 265-278 (2019)
institution	DOAJ
collection	DOAJ
language	EN
topic	isoparametric hypersurfaces monotone lagrangian submanifolds floer homology primary: 53c40 secondary: 53c42, 53d12 Mathematics QA1-939
spellingShingle	isoparametric hypersurfaces monotone lagrangian submanifolds floer homology primary: 53c40 secondary: 53c42, 53d12 Mathematics QA1-939 Miyaoka Reiko Ohnita Yoshihiro Lagrangian geometry of the Gauss images of isoparametric hypersurfaces in spheres
description	The Gauss images of isoparametric hypersufaces of the standard sphere Sn+1 provide a rich class of compact minimal Lagrangian submanifolds embedded in the complex hyperquadric Qn(ℂ). This is a survey article based on our joint work [17] to study the Hamiltonian non-displaceability and related properties of such Lagrangian submanifolds.
format	article
author	Miyaoka Reiko Ohnita Yoshihiro
author_facet	Miyaoka Reiko Ohnita Yoshihiro
author_sort	Miyaoka Reiko
title	Lagrangian geometry of the Gauss images of isoparametric hypersurfaces in spheres
title_short	Lagrangian geometry of the Gauss images of isoparametric hypersurfaces in spheres
title_full	Lagrangian geometry of the Gauss images of isoparametric hypersurfaces in spheres
title_fullStr	Lagrangian geometry of the Gauss images of isoparametric hypersurfaces in spheres
title_full_unstemmed	Lagrangian geometry of the Gauss images of isoparametric hypersurfaces in spheres
title_sort	lagrangian geometry of the gauss images of isoparametric hypersurfaces in spheres
publisher	De Gruyter
publishDate	2019
url	https://doaj.org/article/daa5b67a840d4a95b56cedca9b82447d
work_keys_str_mv	AT miyaokareiko lagrangiangeometryofthegaussimagesofisoparametrichypersurfacesinspheres AT ohnitayoshihiro lagrangiangeometryofthegaussimagesofisoparametrichypersurfacesinspheres
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Lagrangian geometry of the Gauss images of isoparametric hypersurfaces in spheres

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